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Finding the Fourth Proportional to 195.49, 290.90 and 188.88

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Solution

The fourth proportional to 195.49, 290.90 and 188.88 is: 281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.49 : 290.90 = 188.88 : x
  2. Step 2: Convert to fraction form
    195.49/290.90 = 188.88/x
  3. Step 3: Cross multiply
    195.49x = 290.90 × 188.88
  4. Step 4: Simplify right side
    195.49x = 54,945.19
  5. Step 5: Solve for x
    x = 54,945.19/195.49
  6. Step 6: Final answer
    x = 281.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.